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Finding the Fourth Proportional to 11,893.96, 17,836.16 and 7,727.73

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Solution

The fourth proportional to 11,893.96, 17,836.16 and 7,727.73 is: 11,588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.96 : 17,836.16 = 7,727.73 : x
  2. Step 2: Convert to fraction form
    11,893.96/17,836.16 = 7,727.73/x
  3. Step 3: Cross multiply
    11,893.96x = 17,836.16 × 7,727.73
  4. Step 4: Simplify right side
    11,893.96x = 137,833,028.72
  5. Step 5: Solve for x
    x = 137,833,028.72/11,893.96
  6. Step 6: Final answer
    x = 11,588.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.